On the Local Regularity of Solutions for Double Degenerate Nonlinear Parabolic Equations (uq-1)t=div(|ΔU|p-2ΔU) When 1<p<2, P<=q

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Volume 6, Issue 1

On the Local Regularity of Solutions for Double Degenerate Nonlinear Parabolic Equations (u^q-1)_t=div(|ΔU|^p-2ΔU) When 1

Gu Liankun, Huang Qingbo

J. Part. Diff. Eq., 6 (1993), pp. 80-96.

Published online: 1993-06

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Abstract

In this paper, we establish interior Hölder estimates of solutions for double degenerate nonlinear parabolic equations (u^{q-1})_t = div (|∇u|^{p-2}∇u) when 1 < p < 2, p ≤ q.

Keywords

Hölder continuity double degenerate nonlinear parabolic equations

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